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Finding the Fourth Proportional to 490.50, 734.16 and 259.05

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Solution

The fourth proportional to 490.50, 734.16 and 259.05 is: 387.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.50 : 734.16 = 259.05 : x
  2. Step 2: Convert to fraction form
    490.50/734.16 = 259.05/x
  3. Step 3: Cross multiply
    490.50x = 734.16 × 259.05
  4. Step 4: Simplify right side
    490.50x = 190,184.15
  5. Step 5: Solve for x
    x = 190,184.15/490.50
  6. Step 6: Final answer
    x = 387.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.